Search a number
-
+
663223833048 = 233747271130983
BaseRepresentation
bin10011010011010110011…
…10001001000111011000
32100101220012122112210110
421221223032021013120
541331240300124143
61224403020244320
765626206364620
oct11515316110730
92311805575713
10663223833048
112362a9622097
12a86543a06a0
134a70727c1ca
1424158d67880
15123ba62a533
hex9a6b3891d8

663223833048 has 128 divisors (see below), whose sum is σ = 1936019128320. Its totient is φ = 185386373760.

The previous prime is 663223833017. The next prime is 663223833061. The reversal of 663223833048 is 840338322366.

It is a junction number, because it is equal to n+sod(n) for n = 663223832988 and 663223833006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21390565 + ... + 21421547.

It is an arithmetic number, because the mean of its divisors is an integer number (15125149440).

Almost surely, 2663223833048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663223833048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968009564160).

663223833048 is an abundant number, since it is smaller than the sum of its proper divisors (1272795295272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663223833048 is a wasteful number, since it uses less digits than its factorization.

663223833048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33757 (or 33753 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 663223833048 in words is "six hundred sixty-three billion, two hundred twenty-three million, eight hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 2711 3948 5422 7896 8133 10844 16266 18977 21688 30983 32532 37954 56931 61966 65064 75908 92949 113862 123932 127417 151816 185898 216881 227724 247864 254834 371796 382251 433762 455448 509668 650643 743592 764502 867524 891919 1019336 1301286 1456201 1529004 1735048 1783838 2602572 2675757 2912402 3058008 3567676 4368603 5205144 5351514 5824804 7135352 8737206 10193407 10703028 11649608 17474412 20386814 21406056 30580221 34948824 40773628 61160442 81547256 83994913 122320884 167989826 244641768 251984739 335979652 503969478 587964391 671959304 1007938956 1175928782 1763893173 2015877912 2351857564 3527786346 3947760911 4703715128 7055572692 7895521822 11843282733 14111145384 15791043644 23686565466 27634326377 31582087288 47373130932 55268652754 82902979131 94746261864 110537305508 165805958262 221074611016 331611916524 663223833048